Results 111 to 120 of about 330 (211)
Syntomic cohomology and real topological cyclic homology
Abstract We define motivic filtrations on real topological Hochschild homology and its companions. In particular, we prove that real topological cyclic homology admits a natural complete filtration whose graded pieces are equivariant suspensions of syntomic cohomology.
Doosung Park
wiley +1 more source
On 7‐adic Galois representations for elliptic curves over Q$\mathbb {Q}$
Abstract In recent years, significant progress has been made on Mazur's Program B, with many authors beginning a systematic classification of all possible images of p$p$‐adic Galois representations attached to elliptic curves over Q$\mathbb {Q}$. Currently, the classification is only complete for p∈{2,3,13,17}$p \in \lbrace 2,3,13,17\rbrace$.
Lorenzo Furio, Davide Lombardo
wiley +1 more source
Analysis of an evolutionary fractional hemivariational inequality with applications
This paper investigates a novel abstract system that includes a fractional differential equation of the Atangana-Baleanu type and a history-dependent evolutionary hemivariational inequality (AB-FDEHI).
Su Guangwang +3 more
doaj +1 more source
Study of a class of nonlinear heterogeneous diffusion with mixed phases under L∞ − data
In this paper we investigate a class of nonlinear degenerate parabolic equations involving heterogeneous (p,q)-Laplacian operators and subject to Dirichlet boundary conditions.
El Mehdi Hassoune +3 more
doaj +1 more source
The Looijenga-Lunts-Verbitsky Algebra and Verbitsky's Theorem. [PDF]
Bottini A.
europepmc +1 more source
Surjectivity of polynomial maps on matrices
For $n\geq 2$, we consider the map on $M_n(\mathbb K)$ given by evaluation of a polynomial $f(X_1, \ldots, X_m)$ over the field $\mathbb K$. In this article, we explore the image of the diagonal map given by $f=δ_1 X_1^{k_1} + δ_2 X_2^{k_2} + \cdots +δ_m X_m^{k_m}$ in terms of the solution of certain equations over $\mathbb K$.
Panja, Saikat +2 more
openaire +2 more sources
Lefschetz decompositions of Kudla–Millson theta functions
Abstract In the 1980s Kudla and Millson introduced a theta function in two variables. It behaves as a Siegel modular form with respect to the first variable, and is a closed differential form on an orthogonal Shimura variety X$X$ with respect to the other variable. We prove that the Lefschetz decomposition of the cohomology class of that theta function
Jan Hendrik Bruinier, Riccardo Zuffetti
wiley +1 more source
The asymptotic Mahler measure of Gaussian periods
Abstract We construct a sequence of cyclotomic integers (Gaussian periods) of particularly small Mahler measure/height. We study the asymptotics of their Mahler measure as a function of their conductor, to find that the growth rate is the (multivariate) Mahler measure of a family of log Calabi–Yau varieties of increasing dimension.
Gunther Cornelissen +2 more
wiley +1 more source
Backward Stochastic Linear Quadratic Optimal Control with Expectational Equality Constraint
This paper investigates a backward stochastic linear quadratic control problem with an expected-type equality constraint on the initial state. By using the Lagrange multiplier method, the problem with a uniformly convex cost functional is first ...
Yanrong Lu, Jize Li, Yonghui Zhou
doaj +1 more source
Abstract This paper investigates the maximal subgroups of a free projection‐generated regular ∗$*$‐semigroup PG(P)${{\textsf {PG}}}(P)$ over a projection algebra P$P$, and their relationship to the maximal subgroups of the free idempotent‐generated semigroup IG(E)${{\textsf {IG}}}(E)$ over the corresponding biordered set E=E(P)$E = {{\textsf {E}}}(P)$.
James East +3 more
wiley +1 more source

